Question

Find the measure of ABC. Show your work.

Answer 1

Answer:

$m\angle ABC=47^o$

Step-by-step explanation:

we know that

The measure of the external angle is the semi-difference of the arches it covers

so

$m\angle ABC=\frac{1}{2}[arc\ DE-arc\ AC]$

substitute the given values

$m\angle ABC=\frac{1}{2}[142^o-48^o]$

$m\angle ABC=47^o$